Gary Cahill’s goal on the stroke of half-time lifted the Blues, however, and they were level soon after the break through Cesar Azpilicueta’s delightful strike.

The Foxes were left depleted when Marcin Wasilewski saw red in the dying seconds, and Antonio Conte’s men seized the advantage in extra-time — Cesc Fabregas’ double putting the five-time winners into Round Four.

One other game went into an additional 30 minutes, and that came at AFC Bournemouth, where the Cherries were picked off by Preston North End.

Eddie Howe’s men had fought back from a goal down to lead, but Simon Makienok put the Sky Bet Championship outfit through with a fantastic hat-trick.

That wasn’t the only Premier League scalp on Tuesday night, with former Toffee Steven Naismith putting Norwich City on their way to a 2-0 win over Everton — a result secured by Josh Murphy’s stunning second-half hit.

There were no shocks on the cards involving Liverpool or Arsenal, who both claimed victory in the East Midlands. Last year’s finalists eased to a 3-0 win at Derby County, while a Lucas Perez double helped the Gunners to a 4-0 success against Nottingham Forest.

The other three ties were all-Championship affairs, with Newcastle United exacting revenge for their recent league defeat to Wolves with a comfortable 2-0 victory at St James’ Park.

Leeds United left it late, but Chris Wood’s goal secured a 1-0 triumph over Blackburn Rovers, while Reading overcame Brighton & Hove Albion despite going down to 10 men in the first half — a feat they also achieved in their weekend win over Barnsley.

On Wednesday, Manchester United avoided a fourth successive defeat in all competitions to knock out Northampton Town at Sixfields, while Manchester City made it nine wins from nine under Pep Guardiola to beat Swansea City 2-1 in South Wales.

The two Manchester clubs will now meet at Old Trafford in Round Four.

Tottenham Hotspur also secured their place in the last 16 after thrashing Gillingham 5-0 at White Hart Lane, and Southampton prevailed 2-0 in an all-Premier League clash with Crystal Palace.

Bristol City and Hull City will clash in Round Four, after both netted late winners against Fulham and Stoke City away from home, and Sunderland kept up their record of having only won EFL Cup games under David Moyes this season, coming from behind to see off Queens Park Rangers.

West Ham United were the final side to make it through, after Dimitri Payet struck a fantastic free-kick in the sixth minute of second-half stoppage time to eliminate Accrington Stanley. It was the first EFL Cup goal at the Hammers’ new London Stadium, and they’ll now welcome Chelsea through its gates in October.